Mathematics – Analysis of PDEs
Scientific paper
2004-10-07
Mathematics
Analysis of PDEs
Scientific paper
We announce a well-posedness result for the Laplace equation in weighted
Sobolev spaces on polyhedral domains in $\RR^n$ with Dirichlet boundary
conditions. The weight is the distance to the set of singular boundary points.
We give a detailed sketch of the proof in three dimensions.
Bacuta Constantin
Nistor Victor
Zikatanov Ludmil
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